Advertisements
Advertisements
Question
Find the square root of the following number by the prime factorisation method.
4096
Advertisements
Solution
4096 can be factorised as follows:
| 2 | 4096 |
| 2 | 2048 |
| 2 | 1024 |
| 2 | 512 |
| 2 | 256 |
| 2 | 128 |
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 |
4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
∴ `sqrt(4096)` = 2 × 2 × 2 × 2 × 2 × 2 = 64
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
529
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
2028
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
23805
Find the square root the following by prime factorization.
1156
Write the prime factorization of the following number and hence find their square root.
7744
Find the smallest perfect square divisible by 3, 4, 5 and 6.
Find the square root by prime factorisation method
1156
Using prime factorisation, find which of the following are perfect squares.
729
Using prime factorisation, find the square roots of 4761
Find the smallest square number divisible by each one of the numbers 8, 9 and 10.
